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Finding the Fourth Proportional to 1,187.98, 1,781.54 and 407.82

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Solution

The fourth proportional to 1,187.98, 1,781.54 and 407.82 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.98 : 1,781.54 = 407.82 : x
  2. Step 2: Convert to fraction form
    1,187.98/1,781.54 = 407.82/x
  3. Step 3: Cross multiply
    1,187.98x = 1,781.54 × 407.82
  4. Step 4: Simplify right side
    1,187.98x = 726,547.64
  5. Step 5: Solve for x
    x = 726,547.64/1,187.98
  6. Step 6: Final answer
    x = 611.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.